Twisting K3 x T^2 Orbifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Additional info

57 pages, 4 figures; uses harvmac.tex, amssym.tex; v3: minor corrections, references added

Type

Scientific paper

Digital Object Identifier

10.1088/1126-6708/2007/09/092

Abstract

We construct a class of geometric twists of Calabi-Yau manifolds of Voisin-Borcea type (K3 x T^2)/Z_2 and study the superpotential in a type IIA orientifold based on this geometry. The twists modify the direct product by fibering the K3 over T^2 while preserving the Z_2 involution. As an important application, the Voisin-Borcea class contains T^6/(Z_2 x Z_2), the usual setting for intersecting D6 brane model building. Past work in this context considered only those twists inherited from T^6, but our work extends these twists to a subset of the blow-up modes. Our work naturally generalizes to arbitrary K3 fibered Calabi-Yau manifolds and to nongeometric constructions.

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